Finding the Third Proportional to 111,945 and 177,255

Step by Step Solution

1. Step 1: Write the proportion equation
   111,945 : 177,255 = 177,255 : x
2. Step 2: Convert to fraction form
   111,945/177,255 = 177,255/x
3. Step 3: Cross multiply
   111,945x = 177,255 × 177,255
4. Step 4: Simplify right side
   111,945x = 31,419,335,025
5. Step 5: Solve for x
   x = 31,419,335,025/111,945
6. Step 6: Final answer
   x = 280,667.60